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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Photometry

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Photometry

Three light sources A , B , and C emit an identical amount of...

Three light sources AA, BB, and CC emit an identical amount of radiant energy per unit time. The wavelengths produced by the three sources are 450 nm450 \text{ nm}, 555 nm555 \text{ nm}, and 700 nm700 \text{ nm}, respectively. If XAX_A, XBX_B, and XCX_C represent the brightness sensed by an eye for each source, respectively, then

Options

  1. AXA>XBX_A > X_B, XC>XBX_C > X_B
  2. BXA>XBX_A > X_B, XB>XCX_B > X_C
  3. CXB>XAX_B > X_A, XB>XCX_B > X_C
  4. DXB>XAX_B > X_A, XC>XBX_C > X_B

Correct answer

C. XB>XAX_B > X_A, XB>XCX_B > X_C

Step-by-step solution

The human eye is most sensitive to yellow-green light, which has a wavelength of 555 nm555 \text{ nm}.

The relative luminosity curve of the human eye peaks at 555 nm555 \text{ nm} and decreases for both shorter and longer wavelengths.

Since sources AA, BB, and CC emit the same amount of radiant energy per unit time, the brightness sensed by the eye is directly proportional to the relative luminosity at their respective wavelengths.

Because the sensitivity is maximum at 555 nm555 \text{ nm} (source BB), the brightness sensed for source BB will be greater than that for source AA (450 nm450 \text{ nm}) and source CC (700 nm700 \text{ nm}).

Therefore, XB>XAX_B > X_A and XB>XCX_B > X_C.
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